Atwood Machine and the Work done

AI Thread Summary
In the discussion about the Atwood machine with masses of 2kg and 3kg, the focus is on calculating the work done by gravity during the fourth second after release. The user initially calculated the work done as 67 joules but expressed uncertainty about the displacement and the signs of work for each mass. It was clarified that one mass moves up while the other moves down, affecting the net work calculation. The user acknowledged a mistake in their understanding and expressed gratitude for the clarification. The conversation emphasizes the importance of considering direction and displacement in work calculations.
animesh27194
Messages
6
Reaction score
0
The two block in an atwood machine have masses 2kg and 3kg. Find the work done by gravity during the fourth second after the system is released from rest.I have attached my attempt here..Kindly tell me where I went wrong.
I am sure that I didnt go anywhere wrong in finding the acceleration and the displacement. But, I am doubtful abt the work done part. The answer is coming out to be 67 joules. :confused:
 

Attachments

  • Photo-0001.jpg
    Photo-0001.jpg
    38.2 KB · Views: 881
Physics news on Phys.org
animesh27194 said:
Find the work done by gravity during the fourth second after the system is released from rest.
What's the displacement during the fourth second? (That's from t1 = 3 s to t2 = 4 s.)

Also realize that one mass moves up while the other moves down, so the work done on each will have a different sign. Presumably, you want the net work done?
 
Last edited:
ooooh! I am so sorry...! THat's a silly mistake..! :P
 
See also the comment I added to my last post.
 
THanks a lot! I understood the concept... :)
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top